Fekete-Szego Inequality for Analytic and Bi-univalent Functions Subordinate to Chebyshev Polynomials
Feras Yousef, B. A. Frasin, and Tariq Al-Hawary
TL;DR
This paper introduces a new subclass of analytic and bi-univalent functions using Chebyshev polynomials, establishes coefficient bounds, and solves the Fekete-Szego problem within this subclass.
Contribution
The paper presents a novel subclass of bi-univalent functions based on Chebyshev polynomials and provides bounds and solutions for the Fekete-Szego problem.
Findings
Coefficient bounds for the new subclass are derived.
The Fekete-Szego problem is solved for this subclass.
The subclass extends existing function classes with Chebyshev polynomial techniques.
Abstract
In the present paper, a new subclass of analytic and bi-univalent functions by means of Chebyshev polynomials is introduced. Certain coefficient bounds for functions belong to this subclass are obtained. Furthermore, the Fekete-Szego problem in this subclass is solved.
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